Combinatorics courses can help you learn counting principles, permutations, combinations, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are crucial for fields like computer science and operations research. Many courses introduce tools such as generating functions and combinatorial algorithms, which are used to solve complex problems in optimization and data analysis.

The Hong Kong University of Science and Technology
Skills you'll gain: Probability, Computational Logic, Combinatorics, Bayesian Statistics, Algorithms, Theoretical Computer Science, Mathematical Software, Mathematical Theory & Analysis, Cryptography, Logical Reasoning, Deductive Reasoning, Computational Thinking, Computer Science, Encryption, Data Structures, Arithmetic, General Mathematics, Public Key Cryptography Standards (PKCS), Problem Solving, Cybersecurity
Beginner · Specialization · 3 - 6 Months

Johns Hopkins University
Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Advanced Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Engineering Analysis, Mathematical Theory & Analysis, Geometry, Applied Machine Learning, Markov Model
★ 4.7 (230) · Beginner · Specialization · 3 - 6 Months

University of London
Skills you'll gain: Computational Logic, Algorithms, Arithmetic, Applied Mathematics, Advanced Mathematics, Mathematics and Mathematical Modeling, Deductive Reasoning, Mathematical Theory & Analysis, Trigonometry, Geometry, Statistics, General Mathematics, Graphing, Computer Science, Mathematical Modeling, Programming Principles, Business Mathematics, Business Logic, Algebra, Problem Solving
★ 3 (6) · Beginner · Specialization · 3 - 6 Months

Skills you'll gain: Data Structures, Algorithms, Java Programming, Java, Computer Programming, Applied Mathematics, Geometry, Problem Solving
Intermediate · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Theoretical Computer Science, Algorithms, Graph Theory, Data Structures, Operations Research, Quantum computing, Public Key Cryptography Standards (PKCS), Cryptography, Computational Thinking, Design Strategies, Cryptographic Protocols, Tree Maps, Encryption, Network Model, Combinatorics, Data Science, Computer Science, Mathematical Modeling, Mathematical Software, Python Programming
★ 4.7 (957) · Advanced · Specialization · 3 - 6 Months

Princeton University
Skills you'll gain: Combinatorics, Algorithms, Theoretical Computer Science, Mathematical Theory & Analysis, Data Structures, Advanced Mathematics, Mathematical Modeling, Probability, Applied Mathematics, Calculus
★ 4.4 (1.1K) · Advanced · Course · 1 - 3 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Graph Theory, Network Analysis, Social Network Analysis, Combinatorics, Network Model, Mathematical Modeling, Transportation Operations, Image Analysis, Algorithms, Theoretical Computer Science, Artificial Intelligence and Machine Learning (AI/ML), Model Optimization, Computational Thinking, Problem Solving, Embeddings
Intermediate · Course · 1 - 3 Months

Georgia Institute of Technology
Skills you'll gain: Game Theory, Combinatorics, Mathematical Theory & Analysis, Mathematical Modeling, Mathematics and Mathematical Modeling, Applied Mathematics
★ 4.3 (211) · Mixed · Course · 1 - 3 Months

University of California San Diego
Skills you'll gain: Graph Theory, Graphing, Combinatorics, Network Analysis, Algorithms, Mathematical Theory & Analysis, Theoretical Computer Science, Traffic Flow Optimization, Program Development
★ 4.5 (1.1K) · Beginner · Course · 1 - 3 Months

Stanford University
Skills you'll gain: Data Structures, Graph Theory, Algorithms, Bioinformatics, Theoretical Computer Science, Social Network Analysis, Computational Thinking, Network Analysis, Network Routing, Mathematical Theory & Analysis, Analysis, Computer Science, Probability & Statistics, Probability, Design Strategies
★ 4.8 (6K) · Intermediate · Specialization · 3 - 6 Months

The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Analysis, Numerical Analysis, Integral Calculus, Mathematical Software, Calculus, Engineering Calculations, electromagnetics, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Advanced Mathematics, Geometry, Computational Thinking, Simulation and Simulation Software, Mechanics, Scripting
★ 4.8 (7.8K) · Beginner · Specialization · 3 - 6 Months

Princeton University
Skills you'll gain: Data Structures, Algorithms, Graph Theory, Java, Performance Testing, Java Programming, Computational Thinking, Memory Management, Spatial Data Analysis
★ 4.9 (12K) · Intermediate · Course · 3 - 6 Months